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Finding the Fourth Proportional to 8,698.38, 13,046.88 and 2,458.14

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Solution

The fourth proportional to 8,698.38, 13,046.88 and 2,458.14 is: 3,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.38 : 13,046.88 = 2,458.14 : x
  2. Step 2: Convert to fraction form
    8,698.38/13,046.88 = 2,458.14/x
  3. Step 3: Cross multiply
    8,698.38x = 13,046.88 × 2,458.14
  4. Step 4: Simplify right side
    8,698.38x = 32,071,057.60
  5. Step 5: Solve for x
    x = 32,071,057.60/8,698.38
  6. Step 6: Final answer
    x = 3,687.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.